Trade-offs between control and mode-observability properties for switching linear systems

Abstract

Abstract-This paper describes recent progress in the study of switching linear systems i.e. linear systems whose dynamics can switch among a family of possible configurations/modes. We focus the attention on closed-loop mode-observability, namely the problem of identifying the active (unknown) mode of the system from closed-loop data. The analysis focuses on two fundamental questions: i) How the control objectives influence mode-observability; ii) How the control design influences modeobservability.

Hybrid controllers for mode-observability of switching linear systems: Existence and genericity

“…Finally, Section IV shows how a given family of discerning controllers can be implemented, rather than in the multi-controller configuration of Figure 1, as a single hybrid controller which preserves the discerning capability of the original controllers. For an application of the results to adaptive stabilization of switching linear systems, see [12], [13], [14].…”